Question

Air at (1.02 bar) and (22°C), initially occupying a cylinder volume of (0.015 m³), is compressed reversibly and adiabatically by a piston to a pressure of (6.8 bar).

Calculate: 

1) The final temperature. 

2) The final volume. 

3) The work done. 

4) The heat transferred to or from the cylinder walls.

Answer 1

The absolute temperature is: 

T₁ = 22 + 273 = 295 K

To find the mass of the air:

1) The final temperature can be calculated as :

2) The final volume can be calculated as :

3) The work done is :

4) The heat transferred for an adiabatic process :

Q = 0